| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1708291 | Applied Mathematics Letters | 2011 | 7 Pages |
Abstract
The idea of σσ-conservative matrices was studied by Schaefer [P. Schaefer, Infinite matrices and invariant means, Proc. Amer. Math. Soc. 36 (1) (1972) 104–110]. In the present paper, we apply the Hausdorff measure of noncompactness to obtain the sufficient condition for a σσ-conservative matrix to define a compact operator. Further, we deduce the necessary and sufficient conditions for some matrix operators on the space VσVσ to be compact.
Related Topics
Physical Sciences and Engineering
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Computational Mechanics
Authors
M. Mursaleen, Abdullah K. Noman,